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STANĚK, D. CHVALINA, J.
Originální název
Isomorphic approximations, closure spaces and comparable homeomorphic topologies
Typ
článek ve sborníku ve WoS nebo Scopus
Jazyk
angličtina
Originální abstrakt
Approximation theory based on Pawlak's rough sets uses closure operators determined by stars of subsets in a set partitions formed by an equivalence relation. In the contribution there are presented connections between closure spaces, topological spaces and it is proved that there exist different comparable isomorphic approximation Pawlak's operator on a universat set U as well as different comparable isomorphic closures on U or different comparable homeomorphic topologies in the sense of Bourbaki if and only if the underlying set U is infinite. The obntained result can serves as a criterion of the set infinity.
Klíčová slova
Pawlak approximations, comparability of isomorphic closures and homeomorphic topologies.
Autoři
STANĚK, D.; CHVALINA, J.
Vydáno
15. 6. 2017
Nakladatel
Univerzita obrany v Brně
Místo
Brno
ISBN
978-80-7231-417-1
Kniha
MITAV 2017 (Matematika, informační technologie a aplikované vědy)
Číslo edice
1
Strany od
Strany do
13
Strany počet
URL
http://mitav.unob.cz/
BibTex
@inproceedings{BUT142174, author="David {Staněk} and Jan {Chvalina}", title="Isomorphic approximations, closure spaces and comparable homeomorphic topologies", booktitle="MITAV 2017 (Matematika, informační technologie a aplikované vědy)", year="2017", number="1", pages="1--13", publisher="Univerzita obrany v Brně", address="Brno", isbn="978-80-7231-417-1", url="http://mitav.unob.cz/" }